\contentsline {section}{\numberline {1}Divergence Free Field In Fourier Domain}{4}
\contentsline {section}{\numberline {2}How Order 2 Tensor's Invariants Come From}{5}
\contentsline {section}{\numberline {3}Minimize the Frobenius Norm of the Reconstruction Error}{6}
\contentsline {section}{\numberline {4}Gradient of Convex Conjugate Functional}{8}
\contentsline {section}{\numberline {5}Derivative of Matrix Determinant}{9}
\contentsline {section}{\numberline {6}Navier Stokes Equation in Orthogonal Curvilinear Coordinate System}{10}
\contentsline {section}{\numberline {7}Skew Matrix of Rotated Vector}{14}
\contentsline {section}{\numberline {8}Rodrigues' Formula}{15}
\contentsline {section}{\numberline {9}Mass and Stiffness Matrix in FEM}{16}
\contentsline {section}{\numberline {10}SVD, Aloha}{18}
\contentsline {section}{\numberline {11}Polar Decomposition}{20}
\contentsline {section}{\numberline {12}Naive Stability Analysis of Numerical Integration Scheme}{21}
\contentsline {section}{\numberline {13}Finite Element Formulation of Elastic Solid Dynamics}{22}
\contentsline {section}{\numberline {14}Laplacian's Adjoint Operator}{25}
\contentsline {section}{\numberline {15}Null Space of Poisson Problem}{26}
\contentsline {section}{\numberline {16}A Note on Krylov Solvers}{27}
